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Sergio039 [100]
3 years ago
14

What is the solution to the system of equations? {5x−2y=−164x−5y=−23

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

5x − 2y = − 16 | x 4

4x − 5y = − 23 | x 5

20x - 8y - 20x + 25 y = - 64 - (- 115)

25y - 8y = 115 - 64

17y = 51

y = 51 : 17

y = 3

5x - 2×3 = - 16

5x - 6 = - 16

5x = - 16 + 6

5x = - 10

x = - 10 : 5

x = - 2

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To start, let's expand things out, as we cannot learn anything from this form. We get 30x + 20 - 10x + 4, or 20x + 24. To find the GCD (Greatest Common Divisor), we take the terms and try to find the number (or term) that divides them. It must be a constant, because of the 24, and 4 goes into 20 and 24. So, our final answer is 4(5x + 6).

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The total expected outcome in this case = 12

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Step-by-step explanation: hope it helps

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